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Finding the Fourth Proportional to 389,359.80, 584,234.10 and 221,009.40

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Solution

The fourth proportional to 389,359.80, 584,234.10 and 221,009.40 is: 331,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,359.80 : 584,234.10 = 221,009.40 : x
  2. Step 2: Convert to fraction form
    389,359.80/584,234.10 = 221,009.40/x
  3. Step 3: Cross multiply
    389,359.80x = 584,234.10 × 221,009.40
  4. Step 4: Simplify right side
    389,359.80x = 129,121,227,900.54
  5. Step 5: Solve for x
    x = 129,121,227,900.54/389,359.80
  6. Step 6: Final answer
    x = 331,624.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.